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$\begingroup$ If terseness is wanted, everything after the induction line can be replaced by subst hn, exact ind _ (λ b fb_lt_fa, ih _ fb_lt_fa _ rfl) $\endgroup$
– Kyle Miller
Commented Mar 27, 2022 at 22:19
$\begingroup$ Indeed; though I was trying to be less cryptic than Andrej's answer, not more! $\endgroup$
– Eric ♦
Commented Mar 27, 2022 at 22:48
$\begingroup$ I do wonder if induction h : _ should handle the subst and rfl automatically, but haven't thought about it very hard. $\endgroup$
– Eric ♦
Commented Mar 27, 2022 at 22:49

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